LCM for 33 and 99
What's the Least Common Multiple (LCM) of 33 and 99?
(Ninety-nine)
Finding LCM for 33 and 99 using GCF's of these numbers
The first method to find LCM for numbers 33 and 99 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 33 and 99 is 33, so
LCM = (33 × 99) ÷ 33
LCM = 3267 ÷ 33
LCM = 99
Finding LCM for 33 and 99 by Listing Multiples
The second method to find LCM for numbers 33 and 99 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 33: 33, 66, 99, 132, 165
Multiples of 99: 99, 198, 297, 396, 495, [...], 99
So the LCM for 33 and 99 is 99
Finding LCM for 33 and 99 by Prime Factorization
Another method to find LCM for numbers 33 and 99 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 33: 3, 11 (exponent form: 31, 111)
All Prime Factors of 99: 3, 3, 11 (exponent form: 32, 111)
32 × 111 = 99
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/33--99">What is the LCM of 33 and 99? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 18 | 99 | 198 |
| 19 | 99 | 1881 |
| 20 | 99 | 1980 |
| 21 | 99 | 693 |
| 22 | 99 | 198 |
| 23 | 99 | 2277 |
| 24 | 99 | 792 |
| 25 | 99 | 2475 |
| 26 | 99 | 2574 |
| 27 | 99 | 297 |
| 28 | 99 | 2772 |
| 29 | 99 | 2871 |
| 30 | 99 | 990 |
| 31 | 99 | 3069 |
| 32 | 99 | 3168 |
| 33 | 99 | 99 |
| 34 | 99 | 3366 |
| 35 | 99 | 3465 |
| 36 | 99 | 396 |
| 37 | 99 | 3663 |
| 38 | 99 | 3762 |
| 39 | 99 | 1287 |
| 40 | 99 | 3960 |
| 41 | 99 | 4059 |
| 42 | 99 | 1386 |
| 43 | 99 | 4257 |
| 44 | 99 | 396 |
| 45 | 99 | 495 |
| 46 | 99 | 4554 |
| 47 | 99 | 4653 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers